ECM-Consistent Fundamental Energy Statement: Planck-Scale Frequency Origins vs. Relativistic Mass-Energy

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In Extended Classical Mechanics, the energy–frequency relation

E = hf

is more fundamental than E = mc²; the concept of rest mass m₀ is not physically meaningful, even at the Planck scale. Energy emerges first through frequency transformations:

f₀ = fᴘ + Δf₀

Figure 1: ECM energy–frequency flowchart illustrating the emergence of PE and KE from fundamental Planck-scale frequency dynamics.

From this, the universal energy partition follows naturally:

PE_univ = PE^eff_univ + KE_univ
PE^eff_univ ≡ PE_univ − ΔPE_univ

Thus, potential and kinetic energies, along with mass manifestations, are derivative consequences of fundamental frequency dynamics, making E = hf the primary descriptor of physical reality.